Weimin Han

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All published works

Action	Title	Year	Authors
+	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e981" altimg="si12.svg"><mml:mrow><mml:mi>α</mml:mi><mml:msub><mml:mrow><mml:mi>ℓ</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo linebreak="goodbreak" linebreakstyle="after">−</mml:mo><mml:mi>β</mml:mi><mml:msub><mml:mrow><mml:mi>ℓ</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math> sparsity regularization for nonlinear ill-posed problems	2024	Liang Ding Weimin Han
+ PDF Chat	A new class of fractional differential hemivariational inequalities with application to an incompressible Navier-Stokes system coupled with a fractional diffusion equation	2023	Shengda Zeng Stanisław Migórski Weimin Han
+ PDF Chat	A new class of fractional differential hemivariational inequalities with application to an incompressible Navier-Stokes system coupled with a fractional diffusion equation	2023	Shengda Zeng Stanisław Migórski Weimin Han
+	On a family of discontinuous Galerkin fully-discrete schemes for the wave equation	2021	Limin He Weimin Han Fei Wang
+ PDF Chat	Seismic wave equations in tight oil/gas sandstone media	2020	Jinghuai Gao Weimin Han Yanbin He Haixia Zhao Hui Li Yijie Zhang Zongben Xu
+ PDF Chat	A projected gradient method for αℓ <sub>1</sub> − βℓ <sub>2</sub> sparsity regularization <sup>**</sup>	2020	Liang Ding Weimin Han
+ PDF Chat	Numerical analysis of history-dependent variational-hemivariational inequalities	2020	Shufen Wang Wei Xu Weimin Han Wenbin Chen
+	Numerical studies of a hemivariational inequality for a viscoelastic contact problem with damage	2020	Weimin Han Michał Jureczka Anna Ochał
+	Well-posedness of the diffusive-viscous wave equation arising in geophysics	2020	Weimin Han Jinghuai Gao Yijie Zhang Wenhao Xu
+	Numerical analysis of a contact problem with wear	2020	Danfu Han Weimin Han Michał Jureczka Anna Ochał
+	Solving Quasistatic Contact Problems Using Nonsmooth Optimization Approach	2020	Michał Jureczka Anna Ochał Weimin Han
+	Numerical Analysis of History-dependent Variational-hemivariational Inequalities	2020	Shufen Wang Wei Xu Weimin Han Wenbin Chen
+	$α\ell_{1}-β\ell_{2}$ sparsity regularization for nonlinear ill-posed problems	2020	Liang Ding Weimin Han
+	α𝓁 1 -β𝓁 2 sparsity regularization for nonlinear ill-posed problems.	2020	Liang Ding Weimin Han
+	A projected gradient method for α𝓁 1 -β𝓁 2 sparsity regularization.	2020	Liang Ding Weimin Han
+ PDF Chat	Adaptive discontinuous Galerkin methods for solving an incompressible Stokes flow problem with slip boundary condition of frictional type	2019	Fei Wang Min Ling Weimin Han Feifei Jing
+	$ \newcommand{\e}{{\rm e}} {\alpha\ell_{1}-\beta\ell_{2}}$ regularization for sparse recovery	2019	Liang Ding Weimin Han
+	Unconditional stability and optimal error estimates of discontinuous Galerkin methods for the second-order wave equation	2019	Limin He Weimin Han Fei Wang Wentao Cai
+ PDF Chat	Convergence analysis of penalty based numerical methods for constrained inequality problems	2019	Weimin Han Mircea Sofonea
+	Numerical Analysis of a Contact Problem with Wear	2019	Danfu Han Weimin Han Michał Jureczka Anna Ochał
+	Numerical Studies of a Hemivariational Inequality for a Viscoelastic Contact Problem with Damage	2019	Weimin Han Michał Jureczka Anna Ochał
+	Solving a nonlinear inverse Robin problem through a linear Cauchy problem	2018	Rongfang Gong Pingchao Yu Qinian Jin Xinyu Cheng Weimin Han
+	Optimal Order Error Estimates for Discontinuous Galerkin Methods for the Wave Equation	2018	Weimin Han Limin He Fei Wang
+	Numerical analysis of the energy-dependent radiative transfer equation	2018	Kenneth Czuprynski Joseph Eichholz Weimin Han
+	Seismic Wave Equations in Tight Oil/Gas Sandstone Media	2018	Jinghuai Gao Weimin Han Haixia Zhao Hui Li Yijie Zhang Jigen Peng Zongben Xu
+ PDF Chat	Energy dependent radiative transfer equation and energy discretization	2017	Kenneth Czuprynski Weimin Han
+ PDF Chat	Mixed Total Variation and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn fontstyle="italic">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math> Regularization Method for Optical Tomography Based on Radiative Transfer Equation	2017	Jinping Tang Bo Han Weimin Han Bo Bi Li Li
+ PDF Chat	A variant form of Korpelevichs algorithm and its convergence analysis	2016	Li-Jun Zhu Minglun Ren Weimin Han
+ PDF Chat	A Discrete-Ordinate Discontinuous-Streamline Diffusion Method for the Radiative Transfer Equation	2016	Cheng Wang Qiwei Sheng Weimin Han
+	A coupled complex boundary method for an inverse conductivity problem with one measurement	2016	Rongfang Gong Xiaoliang Cheng Weimin Han
+	An optimal cascadic multigrid method for the radiative transfer equation	2016	Qiwei Sheng Cheng Wang Weimin Han
+	A coupled complex boundary method for the Cauchy problem	2016	Xinyu Cheng Rongfang Gong Weimin Han
+	A New Coupled Complex Boundary Method for Bioluminescence Tomography	2016	Rongfang Gong Xiaoliang Cheng Weimin Han
+	Legendre-Fenchel duality and a generalized constitutive relation error	2016	Mengwu Guo Weimin Han Hongzhi Zhong
+ PDF Chat	Image Reconstruction for Diffuse Optical Tomography Based on Radiative Transfer Equation	2015	Bo Bi Bo Han Weimin Han Jinping Tang Li Li
+	A new Kohn-Vogelius type formulation for inverse source problems	2015	Xiaoliang Cheng Rongfang Gong Weimin Han
+	A posteriori error analysis in radiative transfer	2014	Weimin Han
+	A novel coupled complex boundary method for solving inverse source problems	2014	Xiaoliang Cheng Rongfang Gong Weimin Han Xuan Zheng
+	$C^0$ Discontinuous Galerkin Methods for a Kirchhoff Plate Contact Problem	2014	Fei Wang Tianyi Zhang Weimin Han
+	Reliable and efficient a posteriori error estimates of DG methods for a frictional contact problem	2014	Fei Wang Weimin Han
+	A theoretical study for RTE-based parameter identification problems	2013	Jinping Tang Weimin Han Bo Han
+	Well-posedness of the Fokker–Planck equation in a scattering process	2013	Qiwei Sheng Weimin Han
+	A numerical method for generalized Fokker-Planck equations	2013	Weimin Han Yi Li Qiwei Sheng Jinping Tang
+	Theory of Differential Approximations of Radiative Transfer Equation	2013	Weimin Han Joseph Eichholz Qiwei Sheng
+	Convergence of the forward-backward sweep method in optimal control	2012	Michael McAsey Libin Mou Weimin Han
+	Differentiation and Integration over the Sphere	2012	Kendall Atkinson Weimin Han
+	Spherical Harmonics and Approximations on the Unit Sphere: An Introduction	2012	Kendall Atkinson Weimin Han
+	Approximation Theory	2012	Kendall Atkinson Weimin Han
+	Some integral identities for spherical harmonics in an arbitrary dimension	2011	Weimin Han Kendall Atkinson Hao Zheng
+	On simplified spherical harmonics equations for the radiative transfer equation	2011	Hao Zheng Weimin Han
+	On some discretization methods for solving a linear matrix ordinary differential equation	2011	Hao Zheng Weimin Han
+	Discrete-Ordinate Discontinuous Galerkin Methods for Solving the Radiative Transfer Equation	2010	Weimin Han Jianguo Huang Joseph Eichholz
+	Bioluminescence tomography for media with spatially varying refractive index	2010	Rongfang Gong Xinyu Cheng Weimin Han
+	A new C 0 discontinuous Galerkin method for Kirchhoff plates	2010	Jianguo Huang Xuehai Huang Weimin Han
+	Appendix A: Taylor's Theorem	2009	Kendall Atkinson Weimin Han David I. Stewart
+	Systems of differential equations	2009	Kendall Atkinson Weimin Han David Stewart
+	Stiff differential equations	2009	Kendall Atkinson Weimin Han David Stewart
+	Two‐point boundary value problems	2009	Kendall Atkinson Weimin Han David Stewart
+	General error analysis for multistep methods	2009	Kendall Atkinson Weimin Han David Stewart
+	Implicit RK methods for stiff differential equations	2009	Kendall Atkinson Weimin Han David Stewart
+	Taylor and Runge–Kutta methods	2009	Kendall Atkinson Weimin Han David E. Stewart
+	Appendix B: Polynomial interpolation	2009	Kendall Atkinson Weimin Han David Stewart
+	Euler's method	2009	Kendall Atkinson Weimin Han David Stewart
+	Differential algebraic equations	2009	Kendall Atkinson Weimin Han David Stewart
+	Theory of differential equations: An introduction	2009	Kendall Atkinson Weimin Han David Stewart
+	Volterra integral equations	2009	Kendall Atkinson Weimin Han David Stewart
+	Numerical Solution of Ordinary Differential Equations	2009	Kendall Atkinson Weimin Han David E. Stewart
+	Index	2009	Kendall Atkinson Weimin Han David I. Stewart
+	Weak Formulations of Elliptic Boundary Value Problems	2009	Kendall Atkinson Weimin Han
+	Linear Operators on Normed Spaces	2009	Kendall Atkinson Weimin Han
+	Finite Difference Method	2009	Kendall Atkinson Weimin Han
+	Numerical Solution of Fredholm Integral Equations of the Second Kind	2009	Kendall Atkinson Weimin Han
+ PDF Chat	A General Total Variation Minimization Theorem for Compressed Sensing Based Interior Tomography	2009	Weimin Han Hengyong Yu Ge Wang
+	Theoretical Numerical Analysis	2009	Weimin Han Kendall Atkinson
+	Analysis of Heterogeneity Length-scales on Residual Gas trapping and Buoyancy-driven CO2 Migration	2008	Weimin Han S. Lee Chunhui Lu Daniel T. Thorne Richard Esser Brian McPherson
+	Function reconstruction from noisy local averages	2008	Yu Chen Jianguo Huang Weimin Han
+	A new general mathematical framework for bioluminescence tomography	2007	Xiaoliang Cheng Rongfang Gong Weimin Han
+	A numerical method for a Cauchy problem for elliptic partial differential equations	2007	Weimin Han Jianguo Huang Kamran Kazmi Yu Chen
+	A Posteriori Error Analysis Via Duality Theory: With Applications in Modeling and Numerical Approximations	2004	Weimin Han
+	Function spaces and their properties	2002	Weimin Han Mircea Sofonea
+	Nonlinear Equations and Their Solution by Iteration	2001	Kendall Atkinson Weimin Han
+	Finite Difference Method	2001	Kendall Atkinson Weimin Han
+	Some mixed finite element methods for biharmonic equation	2000	Xiaoliang Cheng Weimin Han Hongci Huang
+	On the kacanov method for a quasi-newtonian flow problem	1998	Jiuhua Chen Weimin Han Hongci Huang
+	The Kačanov method for some nonlinear problems	1997	Weimin Han Søren Jensen Igor Shimansky
+	Extrapolation of numerical solutions for elliptic problems on corner domains	1997	Hongci Huang Weimin Han Jinshi Zhou
+	An asymptotic regularization method for coefficient identification of a generalized nonhomogeneous Helmholtz equation	1996	Jie Chen Weimin Han Friedmar Schulz
+	Quantitative justification of simplifications in some heat conduction problems	1995	Weimin Han Jinshi Zhou
+	The regularization method for an obstacle problem	1994	Hongci Huang Weimin Han Jinshi Zhou
+	A regularization method for coefficient identification of a nonhomogeneous Helmholtz equation	1994	J Chen Weimin Han F Schulz
+	Quantitative error estimates for coefficient idealization in linear elliptic problems	1994	Weimin Han
+ PDF Chat	Existence, Uniqueness and Smoothness Results for Second-Kind Volterra Equations with Weakly-Singular Kernels	1994	Weimin Han
+	Notes on best constants in some Sobolev inequalities	1994	Weimin Han
+	Convergence Acceleration for Some Rootfinding Methods	1993	Weimin Han Florian A. Potra
+	Asymptotic error estimates for perturbations of linear elliptic problems on nonsmooth domains	1993	Weimin Han
+	The best constant in a trace inequality	1992	Weimin Han
+	Notes on “A separation of the variables method for solving coupled systems of second-order partial differential equations: exact, approximate solutions and error bounds”	1991	Weimin Han
+	A note on a relaxation Schwarz alternating method	1991	Weimin Han
+	Quantitative error estimates for material idealization of torsion problems	1991	Weimin Han
+	Minimal energy splines: II. Mixed and natural plane curves	1990	Emery D. Jou Weimin Han
+	The best constant in a trace inequality in<i>H</i><sup>1</sup>	1990	Weimin Han

Common Coauthors

Coauthor	Papers Together
Kendall Atkinson	25
David Stewart	10
Rongfang Gong	8
Fei Wang	6
Xiaoliang Cheng	6
Qiwei Sheng	5
Michał Jureczka	5
Anna Ochał	5
Liang Ding	4
Jinping Tang	4
Jianguo Huang	4
Hongci Huang	4
Joseph Eichholz	3
Jinghuai Gao	3
Yijie Zhang	3
Xinyu Cheng	3
Jinshi Zhou	3
Hao Zheng	3
Limin He	3
David I. Stewart	2
David E. Stewart	2
Liang Ding	2
Mircea Sofonea	2
Shengda Zeng	2
Kenneth Czuprynski	2
Bo Han	2
Stanisław Migórski	2
Bo Bi	2
Haixia Zhao	2
Li Li	2
Hui Li	2
Wenbin Chen	2
Danfu Han	2
Shufen Wang	2
Zongben Xu	2
Minglun Ren	1
Min Ling	1
Xuehai Huang	1
Søren Jensen	1
Friedmar Schulz	1
Jiuhua Chen	1
Li-Jun Zhu	1
Emery D. Jou	1
Pingchao Yu	1
Wentao Cai	1
Cheng Wang	1
Igor Shimansky	1
Brian McPherson	1
Tianyi Zhang	1
Ge Wang	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Discrete-Ordinate Discontinuous Galerkin Methods for Solving the Radiative Transfer Equation	2010	Weimin Han Jianguo Huang Joseph Eichholz	10
+	Boundary Value Problems for Transport Equations	1998	V. I. Agoshkov	10
+	Elliptic Problems in Nonsmooth Domains	2011	Pierre Grisvard	8
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern	8
+ PDF Chat	Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems	2002	Douglas N. Arnold Franco Brezzi Bernardo Cockburn L. D. Marini	8
+ PDF Chat	Inverse Problems for Partial Differential Equations	1998	Victor Isakov	8
+	An Introduction to Numerical Analysis	1990	F. S. Kendall Atkinson	6
+ PDF Chat	The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems	1998	Bernardo Cockburn Chi‐Wang Shu	6
+	Nonlinear Functional Analysis and its Applications	1990	Eberhard Zeidler	6
+	A theoretical study for RTE-based parameter identification problems	2013	Jinping Tang Weimin Han Bo Han	5
+	Introduction to numerical analysis: 2nd edition	1987	Begnaud Francis Hildebrand	5
+	A MIXED VARIATIONAL FRAMEWORK FOR THE RADIATIVE TRANSFER EQUATION	2011	Herbert Egger Matthias Schlottbom	5
+	Inverse transport theory and applications	2009	Guillaume Bal	5
+ PDF Chat	Optical tomography: forward and inverse problems	2009	Simon Arridge John C. Schotland	5
+	Discontinuous Galerkin methods	2003	Bernardo Cockburn	5
+	Regularization of Inverse Problems	1996	Heinz W. Engl Martin Hanke Andreas B. Neubauer	5
+	Mathematical Analysis and Numerical Methods for Science and Technology	2000		5
+ PDF Chat	An iterative thresholding algorithm for linear inverse problems with a sparsity constraint	2004	Ingrid Daubechies Michel Defrise Christine De Mol	5
+	Optimization and Nonsmooth Analysis	1990	Frank H. Clarke	5
+ PDF Chat	Analysis of a numerical solver for radiative transport equation	2012	Hao Gao Hongkai Zhao	5
+ PDF Chat	Inverse Problems for Partial Differential Equations	2006	David Colton Richard E. Ewing William Rundell	5
+ PDF Chat	Nonlinear Stochastic Galerkin and Collocation Methods: Application to a Ferromagnetic Cylinder Rotating at High Speed	2010	Eveline Rosseel	4
+	A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems	2009	Amir Beck Marc Teboulle	4
+	A novel coupled complex boundary method for solving inverse source problems	2014	Xiaoliang Cheng Rongfang Gong Weimin Han Xuan Zheng	4
+	Multi-parameter Tikhonov regularization with the ℓ <sup>0</sup> sparsity constraint	2013	Wei Wang Shuai Lu Heng Mao Jin Cheng	4
+	Sparsity regularization for parameter identification problems	2012	Bangti Jin Peter Maaß	4
+ PDF Chat	Generalized gradients and applications	1975	Frank H. Clarke	4
+	A generalized conditional gradient method and its connection to an iterative shrinkage method	2007	Kristian Bredies Dirk A. Lorenz Peter Maaß	3
+	Eigenvalue estimates and the Trace Theorem	1979	Cornelius O. Horgan	3
+	Solution of the Cauchy problem using iterated Tikhonov regularization	2001	Alain Cimetière Franck Delvare Samir Jaoua Frédéric Pons	3
+	A new general mathematical framework for bioluminescence tomography	2007	Xiaoliang Cheng Rongfang Gong Weimin Han	3
+	A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators	2007	Bernd Hofmann Barbara Kaltenbacher Christiane Pöschl Otmar Scherzer	3
+	A Computational Quasi-Reversibility Method for Cauchy Problems for Laplace’s Equation	1991	Michael V. Klibanov Fadil Santosa	3
+	A generalized conditional gradient method for nonlinear operator equations with sparsity constraints	2007	Thomas Bonesky Kristian Bredies Dirk A. Lorenz Peter Maaß	3
+	On Cauchy's problem: I. A variational Steklov–Poincaré theory	2005	Faker Ben Belgacem Henda El Fekih	3
+ PDF Chat	Optimal a priori error estimates for the $hp$-version of the local discontinuous Galerkin method for convection--diffusion problems	2001	Paul Castillo Bernardo Cockburn Dominik Schötzau Christoph Schwab	3
+ PDF Chat	Accelerated projected steepest descent method for nonlinear inverse problems with sparsity constraints	2010	Gerd Teschke Claudia Borries	3
+	Quantitative error estimates for material idealization of torsion problems	1991	Weimin Han	3
+	An Introduction to the Mathematical Theory of Inverse Problems	2021	Andreas Kirsch	3
+	Shape Methods for the Transmission Problem with a Single Measurement	2007	Lekbir Afraites Marc Dambrine Djalil Kateb	3
+	On Cauchy's problem: II. Completion, regularization and approximation	2006	Mejdi Azaïez Faker Ben Belgacem Henda El Fekih	3
+ PDF Chat	A variational approach to sparsity optimization based on Lagrange multiplier theory	2013	Kazufumi Ito Karl Kunisch	3
+	Numerical Computation of a Cauchy Problem for Laplace's Equation	2001	Jin Cheng Y.C. Hon Ting Wei Masahiro Yamamoto	3
+ PDF Chat	Discontinuous Galerkin Finite Element Method for the Wave Equation	2006	Marcus J. Grote Anna Schneebeli Dominik Schötzau	3
+ PDF Chat	Optimal Error Estimates for the Fully Discrete Interior Penalty DG Method for the Wave Equation	2008	Marcus J. Grote Dominik Schötzau	3
+	Analysis of the discontinuous Galerkin method for Hamilton–Jacobi equations	2000	Olga Lepsky Changqing Hu Chi‐Wang Shu	3
+	Well-posedness and convergence rates for sparse regularization with sublinear $l^q$ penalty term	2009	Markus Grasmair	3
+	Regularization with non-convex separable constraints	2009	Kristian Bredies Dirk A. Lorenz	3
+	On Tikhonov regularization with non-convex sparsity constraints	2009	Clemens A Zarzer	3
+	Convergence analysis for finite element approximation to an inverse Cauchy problem	2006	Abdelkrim Chakib Abdeljalil Nachaoui	3